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ameliusyesterday at 10:55 PM1 replyview on HN

Does this answer the question of why we see hyperoperations until exponentiation in physics, but not higher?


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AnotherGoodNameyesterday at 11:21 PM

I think that's more about integrations/differentials not producing them (generally speaking). Physics likes to deal with integrals and differentiation as you calculate change over time or over spatial dimensions.

Eg. the integral of x^10 is x^11 / 11 + c. No hyper-operation appears and it's just another exponential (with a division).

The integral of log(x) is xlog(x) - x + c. So still basically just a logarithm

Even the integral of 2^x is just 2^x / log(2). Still basically the same thing.

There's no easy way to pull a hyper-operation out.